Home / Faculty / Ventura, Jade

Ventura, Jade

Assistant Professor
Email Addressjventura@math.upd.edu.ph
RoomMath Building 216
Websitevisit website (external)
Research Interests
Differential geometry. Mathematical models in fundamental physics and in consciousness science.
  • Education
    • PhD Mathematics (2021)
      Université de Bretagne Occidentale

      Dissertation: Biconformal Deformations and Solutions to the Einstein Equation
      Adviser: Dr. Paul Baird

    • MS Mathematics (2014)
      University of the Philippines Diliman

      Thesis: Parallel Travel on Spacetime Manifolds
      Adviser: Dr. Richard S. Lemence

    • BS Applied Mathematics (2010), class valedictorian
      University of the Philippines Mindanao

      Thesis: Behavior Pattern Discovery Using Behavior Matrices and Behavior Prediction Relationships: The Case of Prey Delivery Instances of the Philippine Eagle Pithecophaga jefferyi
      Adviser: Dr. May Anne E. Mata

  • Research

    Current research projects

    1. Fundamental physics
      1. Biconformal deformation of cosmological models (with P. Baird)
      2. Biconformal deformation of black hole spacetimes
      3. Biconformal deformation and numerical solutions
    2. Consciousness science
      1. IIT and circuit structures (with A.K. Asuncion)
      2. Integration of consciousness contents from IIT and EFEM (with A.K. Asuncion)
      3. Categorification of CAN
    3. Others
      1. Biconformal deformation of Ricci solitons (with P. Baird, C. Reyes)
      2. Generalizations of Einstein manifolds (with P. Baird, S. Parena)
      3. Exotic spheres and curvature (with J. Quigley, S. Parena)
      4. Spherical projections in multi-view geometry (with A.L. Antolin)
      5. Conjugate functions (with P. Baird)
      6. Braided ribbons and free groups (with G. Dacillo)

    Featured research students

    1. Arjun Lhanz Antolin, Multi-view geometry and spherical projections
    2. Ana Katrina Asuncion, IIT 3.0: Mathematical structure and applications
    3. Garry Dacillo, Braided ribbons and free groups
    4. Sherwin Parena, Generalizations of Einstein manifolds
    5. Cedie Reyes, Biconformal deformation of Ricci solitons

    Looking for research students

    1. Fundamental physics
      1. Biconformal deformation and numerical solutions
      2. Amplituhedron and Grassmannian
    2. Consciousness science
      1. Coding integrated information vs coding Shannon information
      2. EFEM and Shannon information theory
  • Teaching

    Featured courses

    1. Undergraduate courses
      1. Math 140 Introduction to modern geometries
      2. Math 142 Elementary topology
      3. Math 146 Introduction to differential geometry
    2. Graduate courses
      1. Math 242 General topology
      2. Math 243 Algebraic topology
      3. Math 246 Differential geometry
  • Publications
    1. P. Baird and J. Ventura, Four-dimensional Einstein metrics from biconformal deformations, Arch. Math. 57 (2021), no. 5, 255-283, DOI 10.5817/AM2021-5-255.